منابع مشابه
D/G-valued moment maps
We study Dirac structures associated with Manin pairs (d, g) and give a Dirac geometric approach to Hamiltonian spaces with D/G-valued moment maps, originally introduced by Alekseev and Kosmann-Schwarzbach [3] in terms of quasi-Poisson structures. We explain how these two distinct frameworks are related to each other, proving that they lead to isomorphic categories of Hamiltonian spaces. We str...
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Any deformation of a Weyl or Clifford algebra A can be realized through a ‘deforming map’, i.e. a formal change of generators in A. This is true in particular if A is covariant under a Lie algebra g and its deformation is induced by some triangular deformation Uhg of the Hopf algebra Ug . We propose a systematic method to construct all the corresponding deforming maps, together with the corresp...
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We study Dirac structures associated with Manin pairs (d, g) and give a Dirac geometric approach to Hamiltonian spaces with D/G-valued moment maps, originally introduced by Alekseev and Kosmann-Schwarzbach [3] in terms of quasi-Poisson structures. We explain how these two distinct frameworks are related to each other, proving that they lead to isomorphic categories of Hamiltonian spaces. We str...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1998
ISSN: 0022-040X
DOI: 10.4310/jdg/1214460860